{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-05-15T07:29:09.725444Z",
     "start_time": "2025-05-15T07:29:09.472339Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "# 生成模拟数据\n",
    "X, y = make_blobs(n_samples=300, centers=4, cluster_std=0.60, random_state=0)\n",
    "\n",
    "# 初始化K - means模型\n",
    "kmeans = KMeans(n_clusters=4, random_state=0)\n",
    "\n",
    "# 拟合模型\n",
    "kmeans.fit(X)\n",
    "\n",
    "# 获取聚类标签和聚类中心\n",
    "labels = kmeans.labels_\n",
    "centers = kmeans.cluster_centers_\n",
    "\n",
    "# 可视化结果\n",
    "plt.scatter(X[:, 0], X[:, 1], c=labels, cmap='viridis')\n",
    "plt.scatter(centers[:, 0], centers[:, 1], c='red', marker='x', label='Centroids')\n",
    "plt.xlabel('Feature 1')\n",
    "plt.ylabel('Feature 2')\n",
    "plt.title('K - means Clustering')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "#make_blobs生成的高斯分布，展示K-means算法在处理典型聚类数据的效果（凸数据）"
   ],
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\python\\Lib\\site-packages\\sklearn\\cluster\\_kmeans.py:1446: UserWarning: KMeans is known to have a memory leak on Windows with MKL, when there are less chunks than available threads. You can avoid it by setting the environment variable OMP_NUM_THREADS=2.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-15T07:27:57.083589Z",
     "start_time": "2025-05-15T07:27:56.842363Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "# 生成示例数据\n",
    "np.random.seed(42)\n",
    "X = np.random.rand(300, 2)\n",
    "\n",
    "# 创建一个KMeans聚类模型，设置聚类中心数为3\n",
    "kmeans = KMeans(n_clusters=3, random_state=42)\n",
    "\n",
    "# 训练聚类模型\n",
    "kmeans.fit(X)\n",
    "\n",
    "# 获取聚类中心\n",
    "centroids = kmeans.cluster_centers_\n",
    "\n",
    "# 获取每个点所属的聚类标签\n",
    "labels = kmeans.labels_\n",
    "\n",
    "# 使用不同的颜色来可视化每个聚类\n",
    "plt.figure(figsize=(8, 6))\n",
    "for i in range(3):\n",
    "    # 选择属于第i个聚类的点\n",
    "    points = X[labels == i]\n",
    "    # 绘制点\n",
    "    plt.scatter(points[:, 0], points[:, 1], label=f'Cluster {i}')\n",
    "    # 绘制聚类中心\n",
    "    plt.scatter(centroids[i, 0], centroids[i, 1], marker='x', s=100, c='black', linewidths=3)\n",
    "\n",
    "# 添加图例和标签\n",
    "plt.title('K-means Clustering', fontsize=16)\n",
    "plt.xlabel('Feature 1', fontsize=12)\n",
    "plt.ylabel('Feature 2', fontsize=12)\n",
    "plt.legend()\n",
    "\n",
    "# 显示图表\n",
    "plt.show()\n",
    "#适合快速演示和理解K-means算法的基本原理和流程"
   ],
   "id": "40ae91c20630cd67",
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\python\\Lib\\site-packages\\sklearn\\cluster\\_kmeans.py:1446: UserWarning: KMeans is known to have a memory leak on Windows with MKL, when there are less chunks than available threads. You can avoid it by setting the environment variable OMP_NUM_THREADS=2.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 6
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-15T07:28:54.098610Z",
     "start_time": "2025-05-15T07:28:53.903207Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_moons\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "# 生成月牙形的数据集\n",
    "X, _ = make_moons(n_samples=200, noise=0.05)\n",
    "\n",
    "# 设置K-means的簇数\n",
    "k = 2\n",
    "\n",
    "# 初始化K-means模型\n",
    "kmeans = KMeans(n_clusters=k, random_state=42)\n",
    "\n",
    "# 拟合数据并预测聚类标签\n",
    "labels = kmeans.fit_predict(X)\n",
    "\n",
    "# 获取聚类中心\n",
    "centers = kmeans.cluster_centers_\n",
    "\n",
    "# 可视化聚类结果\n",
    "plt.scatter(X[:, 0], X[:, 1], c=labels, cmap='viridis')\n",
    "plt.scatter(centers[:, 0], centers[:, 1], marker='x', s=200, linewidths=3, color='r')\n",
    "plt.title(\"K-means Clustering Results with Cluster Centers\")\n",
    "plt.xlabel(\"Feature 1\")\n",
    "plt.ylabel(\"Feature 2\")\n",
    "plt.show()\n",
    "#展示K-means算法在处理复杂数据分布的效果（非凸数据）"
   ],
   "id": "a9a7e44bb9f8c1c7",
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\python\\Lib\\site-packages\\sklearn\\cluster\\_kmeans.py:1446: UserWarning: KMeans is known to have a memory leak on Windows with MKL, when there are less chunks than available threads. You can avoid it by setting the environment variable OMP_NUM_THREADS=1.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 7
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
